3 papers
math.AP2025
An inverse problem for the fractional Allen-Cahn equation
Li Li
We study an inverse problem for the fractional Allen-Cahn equation. Our formulation and arguments rely on the asymptotics for the fractional equation and unique continuation proper…
math.AP2024
An inverse problem for the space-time fractional Schrödinger equation on closed manifolds
Li Li
We formulate an inverse problem for an uncoupled space-time fractional Schrödinger equation on closed manifolds. Our main goal is to determine the fractional powers and the Riemann…
math.RT2024
Nakajima's quiver varieties and triangular bases of bipartite cluster algebras
Li Li
Berenstein and Zelevinsky introduced quantum cluster algebras \cite{BZ1} and the triangular bases \cite{BZ2}. The support conjecture proposed in \cite{LLRZ}, which asserts that the…